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Author

Lingju Kong

Other affiliations: Northern Illinois University
Bio: Lingju Kong is an academic researcher from University of Tennessee at Chattanooga. The author has contributed to research in topics: Boundary value problem & Mixed boundary condition. The author has an hindex of 22, co-authored 123 publications receiving 1640 citations. Previous affiliations of Lingju Kong include Northern Illinois University.


Papers
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Journal ArticleDOI
TL;DR: In this paper, the boundary value problem was considered in the context of boundary value maximization, where the authors considered the problem of finding a boundary value for a given set of variables.

99 citations

Journal ArticleDOI
TL;DR: The uniqueness, existence, and nonexistence of positive solutions are investigated in terms of different ranges of λ, where λ is the Riemann–Liouville type of order ν.

88 citations

Journal ArticleDOI
TL;DR: In this article, a type of nonlinear fractional boundary value problem with non-homogeneous integral boundary conditions is studied, and the existence and uniqueness of positive solutions are discussed.
Abstract: The authors study a type of nonlinear fractional boundary value problem with non-homogeneous integral boundary conditions. The existence and uniqueness of positive solutions are discussed. An example is given as the application of the results.

66 citations

Journal ArticleDOI
TL;DR: The authors establish the existence of nonnegative solutions in the case where the associated Green’s function may have zeros and illustrated with an example.

57 citations

Journal ArticleDOI
TL;DR: In this paper, the authors considered a nonlinear fractional boundary value problem defined on a star graph and used a transformation to obtain an equivalent system of boundary value problems with mixed boundary conditions, then the existence and uniqueness of solutions are investigated by fixed point theory.
Abstract: In this paper, the authors consider a nonlinear fractional boundary value problem defined on a star graph. By using a transformation, an equivalent system of fractional boundary value problems with mixed boundary conditions is obtained. Then the existence and uniqueness of solutions are investigated by fixed point theory.

56 citations


Cited by
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Book ChapterDOI
01 Jan 2015

3,828 citations

01 Jan 2016
TL;DR: The nonlinear functional analysis and its applications is universally compatible with any devices to read and is available in the book collection an online access to it is set as public so you can get it instantly.
Abstract: nonlinear functional analysis and its applications is available in our book collection an online access to it is set as public so you can get it instantly. Our books collection hosts in multiple countries, allowing you to get the most less latency time to download any of our books like this one. Merely said, the nonlinear functional analysis and its applications is universally compatible with any devices to read.

581 citations

01 Jan 2016
TL;DR: The computational fluid mechanics and heat transfer is universally compatible with any devices to read and it is set as public so you can download it instantly.
Abstract: computational fluid mechanics and heat transfer is available in our book collection an online access to it is set as public so you can download it instantly. Our digital library hosts in multiple countries, allowing you to get the most less latency time to download any of our books like this one. Kindly say, the computational fluid mechanics and heat transfer is universally compatible with any devices to read.

545 citations

Journal ArticleDOI
01 Jul 1962-Nature
TL;DR: Linear Differential Operators By Prof. Cornelius Lanczos as discussed by the authors is a seminal work in the field of linear differential operators, and is a classic example of a linear differential operator.
Abstract: Linear Differential Operators By Prof. Cornelius Lanczos. Pp. xvi + 564. (London: D. Van Nostrand Co., Ltd.; New York: D. Van Nostrand Company, Inc., 1961.) 80s.

366 citations

Journal ArticleDOI
TL;DR: In this article, the existence of positive solutions for a class of nonlinear boundary value problems with integral boundary conditions was studied, based on the known Guo-Krasnoselskii fixed point theorem.

259 citations